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Torqued. An investigation of rotational motion. Think Linearly. Linear motion: we interpret position as a point on a number line velocity as the rate at which position increases acceleration as the rate at which velocity increases.
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Torqued An investigation of rotational motion
Think Linearly • Linear motion: we interpret • position as a point on a number line • velocity as the rate at which position increases • acceleration as the rate at which velocity increases http://education.yahoo.com/homework_help/math_help/problem?id=minialg1gt_11_1_1_15_100
Angular Quantities • Rotational motion: based on the radius of the rotating object and the number of revolutions it passes through, we can relate • position angle • angular velocity velocity • Angular acceleration acceleration • For a disk of radius r: r Name this formula! #angles in one revolution # revolutions Linear distance
Torque • Torque, T, occurs when forces do not occur at an object’s center of mass (balance point). • T=F*d, where F is a force and d is distance from center of mass • Torque-angular acceleration: T=I*α • Compare to Newton’s 2nd law: F=m*a • Torque is defined by the direction the load may rotate an object: • CCW is (+) • CW is (-) How do you think these disks will rotate?
Activity Purpose • We will use weights to rotate the drive axle of our mousetrap cars. • We can record the acceleration of the falling weight and compare this to the torque provided by the weight in order to calculate the Moment of Inertia of the axle.
Hypothesis **Think about these questions** Which type of axle will have a larger moment of inertia -- one with large wheels or one with small wheels? Do you think the mass of the axle assembly (axle + wheels) affects the moment of inertia more or less than its size?